DLMF:10.38.E6 (Q3566)

From DRMF

Jump to navigation Jump to search

No description defined

Language	Label	Description	Also known as
English	DLMF:10.38.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left.\frac{\partial I_{\nu}\left(x\right)}{% \partial\nu}\right|_{\nu=\pm\frac{1}{2}}=-\frac{1}{\sqrt{2\pi x}}\left(E_{1}% \left(2x\right)e^{x}\pm\mathrm{Ei}\left(2x\right)e^{-x}\right),}}

0 references

DLMF:10.38.E6

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

0 references

base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

0 references

exponential integral

Defining formula

{\displaystyle{\displaystyle E_{1}\left(\NVar{z}\right)}}

C6.S2.E1.m2adec

0 references

Defining formula

{\displaystyle{\displaystyle\mathrm{Ei}\left(\NVar{x}\right)}}

C6.S2.SS1.p3.m2adec

0 references

modified Bessel function of the first kind

Defining formula

{\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E2.m2addec

0 references

partial derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

C1.S5.E3.m4aedec

0 references

partial differential of $$x$$

Defining formula

{\displaystyle{\displaystyle\partial\NVar{x}}}

C1.S5.E3.m2aedec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C10.S1.XMD4.m1dec

0 references

Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1edec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3566&oldid=40627"